1. Which of the following is an example of the associative property of addition?
a. x + (3 + 4) = (x +3) + 4
b. a + 10 = 10 + a
c. 4(x + 6) = 4x + 24
d. (xy)z = x(yz)
2. Which of the following is an example of the associative property of multiplication?
a. a(bc) = a(cb)
b. 5(m + 9) = 5m + 45
c. a(3 + 4) = a(7)
d. 2(xy) = (2x)y
3. Marcia wrote the following equation to illustrate the distributive property:
5(y + 12) = 5y + 12
Her teacher marked the equation incorrect. Write a note to Marcia giving the correct answer and explain why her answer was incorrect.
(continued)
4. Which of the following is NOT equivalent to 6(x + 1.5)?
a. 6(x) + 6(1.5)
b. 7.5x
c. 6x + 9
d. 6(1.5 + x)
5. Which of the following is NOT equivalent to (g + 27) + 33?
a. g + (27 + 33)
b. g + 60
c. g + 27 + 33
d. 60g